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Finding the Fourth Proportional to 2,056.56, 2,836.56 and 1,607.52

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Solution

The fourth proportional to 2,056.56, 2,836.56 and 1,607.52 is: 2,217.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.56 : 2,836.56 = 1,607.52 : x
  2. Step 2: Convert to fraction form
    2,056.56/2,836.56 = 1,607.52/x
  3. Step 3: Cross multiply
    2,056.56x = 2,836.56 × 1,607.52
  4. Step 4: Simplify right side
    2,056.56x = 4,559,826.93
  5. Step 5: Solve for x
    x = 4,559,826.93/2,056.56
  6. Step 6: Final answer
    x = 2,217.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.